Aset s contains 6 elements, how many different subsets can be form the elements of s that will contain exactly 4 elements

The binomial coefficient express exactly the number of ways you can choose k elements from a set of n elements. It is defined as

where n! express the factorial of n, which is defined as the multiplication of all number from n to 2:

So, in your case, the number of subset of cardinality 4 that you can extract from a set of cardinality 6 is

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?